TY  - BOOK
AU  - Torres,Rodolfo H.
TI  - Boundedness Results for Operators with Singular Kernels on Distribution Spaces
SN  - 9781470408688
AV  - QA402.2 -- .T677 1991eb 
U1  - 510 s 
PY  - 2013///
CY  - Providence
PB  - American Mathematical Society
KW  - Theory of distributions (Functional analysis)
KW  - Pseudodifferential operators
KW  - Decomposition method
KW  - Electronic books
N1  - Intro -- Table of Contents -- Abstract -- Acknowledgments -- Notation -- 0. Introduction -- 1. The Atomic Decomposition of the Triebel-Lizorkin spaces -- 1.1 The homogeneous Triebel-Lizorkin spaces -- 1.2 The inhomogeneous Triebel-Lizorkin spaces -- 2. Generalized Calderón-Zygmund Operators -- 2.1 Some preliminary background and motivation -- 2.2 Generalized Calderón-Zygmund operators and functions of polynomial growth -- 2.3 The Weak Boundedness Property -- 3. Generalized Calderón-Zygmund Operators on Triebel-Lizorkin Spaces -- 3.1 L[sup(∞)]„estimates for Generalized Calderón„Zygmund operators -- 3.2 Boundedness criteria for Generalized Calderón-Zygmund operators -- 4. Operators with Singular Kernels of Different Sizes -- 4.1 The class OPK[sup(m)](l+ε) -- 4.2 The Weak Boundedness Property and L[sup(∞)]„estimates for the class OPK[sup(m)](l+ε) -- 4.3 Some boundedness results -- 5. Pseudodifferential Operators on Triebel-Lizorkin Spaces -- 5.1 Some basic facts about pseudodifferential operators -- 5.2 Boundedness results for pseudodifferential operators -- 5.3 Some final remarks -- References
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113963
ER  -